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3 years ago

Work out 1and 2/3 x 5/6

1 answer:

3 0

$1=\dfrac{3}{3}$
therefore
$1\dfrac{2}{3}=\dfrac{3+2}{3}=\dfrac{5}{3}$

$1\dfrac{2}{3}\cdot\dfrac{5}{6}=\dfrac{5}{3}\cdot\dfrac{5}{6}=\dfrac{5\cdot5}{3\cdot6}=\dfrac{25}{18}=\dfrac{18+7}{18}=1\dfrac{7}{18}$

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Suppose that x and y are both differentiable functions of t and are related by the given equation. Use implicit differentiation

stepan [7]

Answer:

Let z = f(x, y) where f(x, y) =0 then the implicit function is

$\frac{dy}{dx} =$ $\frac{-δ f/ δ x }{δ f/δ y }$

Example:- $\frac{dy}{dx} = \frac{-(y+2x)}{(x+2y)}$

Step-by-step explanation:

Partial differentiation:-

Let Z = f(x ,y) be a function of two variables x and y. Then

$\lim_{x \to 0} \frac{f(x+dx,y)-f(x,y)}{dx}$ Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to x.

It is denoted by δ z / δ x or δ f / δ x

Let Z = f(x ,y) be a function of two variables x and y. Then

$\lim_{x \to 0} \frac{f(x,y+dy)-f(x,y)}{dy}$ Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to y

It is denoted by δ z / δ y or δ f / δ y

Implicit function:-

Let z = f(x, y) where f(x, y) =0 then the implicit function is

$\frac{dy}{dx} =$ $\frac{-δ f/ δ x }{δ f/δ y }$

The total differential co-efficient

d z = δ z/δ x + $\frac{dy}{dx}$ δ z/δ y

Implicit differentiation process

differentiate both sides of the equation with respective to 'x'

move all d y/dx terms to the left side, and all other terms to the right side

factor out d y / dx from the left side
Solve for d y/dx , by dividing

Example : $x^2 + x y +y^2 =1$

solution:-

differentiate both sides of the equation with respective to 'x'

$2x + x \frac{dy}{dx} + y (1) + 2y\frac{dy}{dx} = 0$

move all d y/dx terms to the left side, and all other terms to the right side

$x \frac{dy}{dx} + 2y\frac{dy}{dx} = - (y+2x)$

Taking common d y/dx

$\frac{dy}{dx} (x+2y) = -(y+2x)$

$\frac{dy}{dx} = \frac{-(y+2x)}{(x+2y)}$

7 0

3 years ago

Write a word problem that involves comparing unit rates

uysha [10]

Last month, my house used 1,740 kilowatt-hours of electrical energy,
and the part of my bill that charged for the electricity was $226.20 .

For the same month, my brother in Boston used 1,175 kilowatt-hours
of energy, and the energy part of HIS bill was $199.75 .

Which of us gets the better deal on his electrical energy ?

4 0

3 years ago

Can someone answer #10 please?

n200080 [17]

Not sure of the question...1 missing vs 8 found
or 1 missing vs 9 piece puzzle

8 0

3 years ago

What do symbols represent in algebra?

Inessa05 [86]

Answer:

One of the most common algebraic symbols is the use of x, y or another letter of the alphabet to indicate a variable or unknown quantity. Common symbols used in algebra also include those related to equality, inequality, factorials and organization, like braces, brackets and parentheses.

Give brainiest please ;-;

7 0

3 years ago

Read 2 more answers

What is the exam score for an exam whose z-score is 1.25?

mojhsa [17]

Answer:

Step-by-step explanation:

A z-score of 1.25 means that the actual exam score is 1.25 standard deviations above the mean, and therefore the exam score we are looking for is: mean + 1.25 * SD = 75 + 1.25 * 8 = 85

4 0

3 years ago